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Finding the Fourth Proportional to 2,560.97, 3,842.06 and 829.60

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Solution

The fourth proportional to 2,560.97, 3,842.06 and 829.60 is: 1,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.97 : 3,842.06 = 829.60 : x
  2. Step 2: Convert to fraction form
    2,560.97/3,842.06 = 829.60/x
  3. Step 3: Cross multiply
    2,560.97x = 3,842.06 × 829.60
  4. Step 4: Simplify right side
    2,560.97x = 3,187,365.44
  5. Step 5: Solve for x
    x = 3,187,365.44/2,560.97
  6. Step 6: Final answer
    x = 1,244.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.